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Finding the Fourth Proportional to 577.52, 797.28 and 565.64

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Solution

The fourth proportional to 577.52, 797.28 and 565.64 is: 780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.52 : 797.28 = 565.64 : x
  2. Step 2: Convert to fraction form
    577.52/797.28 = 565.64/x
  3. Step 3: Cross multiply
    577.52x = 797.28 × 565.64
  4. Step 4: Simplify right side
    577.52x = 450,973.46
  5. Step 5: Solve for x
    x = 450,973.46/577.52
  6. Step 6: Final answer
    x = 780.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.